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Finding the Fourth Proportional to 4,212.57, 6,320 and 1,290.81

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Solution

The fourth proportional to 4,212.57, 6,320 and 1,290.81 is: 1,936.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.57 : 6,320 = 1,290.81 : x
  2. Step 2: Convert to fraction form
    4,212.57/6,320 = 1,290.81/x
  3. Step 3: Cross multiply
    4,212.57x = 6,320 × 1,290.81
  4. Step 4: Simplify right side
    4,212.57x = 8,157,919.20
  5. Step 5: Solve for x
    x = 8,157,919.20/4,212.57
  6. Step 6: Final answer
    x = 1,936.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.